Time and Distance Topic Key Formulas

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⏱️ Time and Distance Formulas

🔢 Formula Category📐 Formula📝 Description
Basic RelationshipsSpeed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}Calculate speed when distance and time are known
Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}Calculate time when distance and speed are known
Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}Calculate distance when speed and time are known

🔄 Unit Conversion Formulas

🎯 Conversion Type📐 Formula💡 Example
km/hr to m/secx km/hr=x×518 m/secx \text{ km/hr} = x \times \frac{5}{18} \text{ m/sec}Multiply km/hr by 5/18 to get m/sec
m/sec to km/hrx m/sec = X x 18/5 km/hrMultiply m/sec by 18/5 to get km/hr

🏃 Speed and Time Ratios

🎭 Concept📐 Formula📋 Explanation
Speed Ratio to Time RatioIf speed ratio of A and B is a:ba:b then time ratio is 1a:1b\frac{1}{a}:\frac{1}{b} or b:ab:aWhen covering the same distance, speed and time are inversely proportional

📊 Average Speed Formula

🚗 Scenario📐 Formula🔍 When to Use
Equal Distance at Different SpeedsAverage Speed=2xyx+y km/hr\text{Average Speed} = \frac{2xy}{x+y} \text{ km/hr}When a person covers equal distances at speeds xx km/hr and yy km/hr respectively

These formulas are fundamental for solving problems involving speed, time, and distance calculations

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